Multi-valued Calculi for Logics Based on Non-determinism
نویسندگان
چکیده
منابع مشابه
Multi-valued Calculi for Logics Based on Non-determinism
Non-deterministic matrices (Nmatrices) are multiple-valued structures in which the value assigned by a valuation to a complex formula can be chosen non-deterministically out of a certain nonempty set of options. We consider two different types of semantics which are based on Nmatrices: the dynamic one and the static one (the latter is new here). We use the Rasiowa-Sikorski (R-S) decomposition m...
متن کاملApproximating Propositional Calculi by Finite-Valued Logics
Bernays introduced a method for proving underivability results in propositional calculi C by truth tables. It is investigated how far this method can be carried using (1) one or (2) an infinite sequence of many-valued logics. It is shown that the best candidate matrices for (1) can be computed from the calculus, and how sequences for (2) can be found for certain classes of logics. Furthermore, ...
متن کاملLabeled Calculi and Finite-Valued Logics
A general class of labeled sequent calculi is investigated and necessary and su cient conditions are given for when such a calculus is sound and complete for a nite valued logic if the labels are interpreted as sets of truth values sets as signs Furthermore it is shown that any nite valued logic can be given an axiomatization by such a labeled calculus using arbitrary systems of signs i e of se...
متن کاملMulti-Valued Logics
A great deal of recent theoretical work in inference has involved extending classical logic in some way. I argue that these extensions share two properties: firstly, the formal addition of truth values encoding intermediate levels of validity between true (i.e., valid) and false (i.e., invalid) and, secondly, the addition of truth values encoding intermediate levels of certainty between true or...
متن کاملMinimal Sequent Calculi for Lukasiewicz’s Finitely-valued Logics
The primary objective of this paper, which is an addendum to the author’s [8], is to apply the general study of the latter to Lukasiewicz’s n-valued logics [4]. The paper provides an analytical expression of a 2(n−1)-place sequent calculus (in the sense of [10, 9]) with the cut-elimination property and a strong completeness with respect to the logic involved which is most compact among similar ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Logic Journal of the IGPL
سال: 2005
ISSN: 1368-9894,1367-0751
DOI: 10.1093/jigpal/jzi030